Question

100pts...!Determine the image of the point (7, 3) under a rotation of 90° about the origin.

(-7, 3)

(-3, -7)

(-3, 7)

(3, 7)

Answer 1

The rule of 90° rotation about the origin is

• (x,y)—»(-y,x)

Here given point is

• (7,3)

The new point is

• (-3,7)

Answer 2

(-3, 7)

Explanation:

The rotation of an object turns the object around a fixed point called the center of rotation.

Positive rotations are counterclockwise.

Negative rotations are clockwise.

Therefore, rotation of 90° about the origin means a 90° rotation counterclockwise with (0, 0) as the center of rotation.

The rule for rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore (7, 3) → (-3, 7)